Variational mean-field games

Tuesday, November 13, 2012 - 2:40pm - 3:20pm
Keller 3-180
Diogo Gomes (Instituto Superior Tecnico)
In this talk we will discuss a number of techniques to establish existence of smooth solutions of a class of mean-field games which have a variational structure.

We start by showing that a number of mean-field games with local dependence on the
player's density can be regarded as Euler-Lagrange equations for certain
functionals. These functionals are convex but in a large number of important
examples are not coercive. We will then discuss a number of techniques to
establish a-priori estimates which when coupled with continuation
methods allow to prove the existence of smooth solutions.
MSC Code: